Generation of a decoherence-free entangled state using a radio frequency dressed state
Atsushi Noguchi, Shinsuke Haze, Kenji Toyoda, Shinji Urabe

TL;DR
This paper presents a method to generate high-fidelity, decoherence-free entangled states in trapped calcium ions using rf dressed states, achieving long coherence times and surpassing separability thresholds.
Contribution
The authors introduce a novel technique combining rf dressed states and spin-dependent forces to produce decoherence-free entangled states with high fidelity in trapped ions.
Findings
Achieved a fidelity of 0.68 for rf entangled states with over 200 ms coherence time.
Generated a qutrit-qutrit entangled state with a fidelity of 0.77.
Demonstrated the method's ability to produce states exceeding separability thresholds.
Abstract
We propose the generation of entangled states with trapped calcium ions using a combination of an rf dressed state and a spin dependent force. Using this method, a decoherence-free entangled state of rf qubits can be directly generated and ideally its fidelity is close to unity. We demonstrate an rf entangled state with a fidelity of 0.68, which has a coherence time of more than 200 ms by virtue of the fact that it is an eigenstate with energy gaps between adjacent levels.Using the same technique, we also produce a qutrit-qutrit entangled state with a fidelity of 0.77, which exceeds the threshold value for separability of 2/3.
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